# Lesson 5

Circumference and Wheels

Let’s explore how far different wheels roll.

### Problem 1

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

### Problem 2

The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?

### Problem 3

The numbers are measurements of radius, diameter, and circumference of circles A and B. Circle A is smaller than circle B. Which number belongs to which quantity?

2.5, 5, 7.6, 15.2, 15.7, 47.7

(From Unit 3, Lesson 4.)

### Problem 4

Circle A has circumference $$2\frac23$$ m. Circle B has a diameter that is $$1\frac12$$ times as long as Circle A’s diameter. What is the circumference of Circle B?

(From Unit 3, Lesson 3.)

### Problem 5

The length of segment $$AE$$ is 5 centimeters.

1. What is the length of segment $$CD$$?
2. What is the length of segment $$AB$$?
3. Name a segment that has the same length as segment $$AB$$.
(From Unit 3, Lesson 2.)